Using mathematical method to model Web workload locality characteristics is established based on the study of entropy and coefficient of variation. Experiments show that these metrics can depict locality characteristics more properly and are much easier to use.

We study L-systems whose main operators are extensions of one-dimensional half-line Schr\"odinger with deficiency indices $(1, 1)$, the L-systems. Introducing new concepts an c-entropy and dissipation coefficient for L-system we discuss following dual problems: describe (1) a given minimal coefficient, (2) maximal c-entropy. Also, analyze in detail problems sectorial extremal operators.

We correct the errors in two tables. Table 3, rows 2 and 3 should have the consensus coefficient of 0.32 and 0.58 instead of the 0.30 and 0.51. Table 4 should have a consensus coefficient of 0.69 instead of 0.57. The entropy coefficients in Table 1, rows C and D, are 2.32 and 2.23 instead of 1.86 and 1.73. The authors regret any confusion readers might have had with the incorrect numbers.

The relationship between the structure and function of biological networks constitutes a fundamental issue in systems biology. Particularly, the structure of protein-protein interaction networks is related to important biological functions. In this work, we investigated how such a resilience is determined by the large scale features of the respective networks. Four species are taken into accoun...

The mechanical tumor-growth model of Jackson and Byrne is analyzed. The model consists of nonlinear parabolic cross-diffusion equations in one space dimension for the volume fractions of the tumor cells and the extracellular matrix (ECM). It describes tumor encapsulation influenced by a cell-induced pressure coefficient. The global-in-time existence of bounded weak solutions to the initial-boun...

We apply Shannon entropy, an information content measure, in sensitivity analysis (SA), stemming from the fact that the essence of SA is to preserve the maximum information content of the parameters of interest that are inverted from the radar response. Then, the sensitivity to the observation configuration and surface parameters is subsequently analyzed. Attempts are also made to explore advan...